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Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220 kilometers per hour. At the same time, Lian boards a train heading west on a parallel track at an average speed of 250 kilometers per hour. How far has Lian traveled when the two trains pass each other?

Verified Answer :

Then distance traveled by Yuto to meeting point = 1,880 - D

Times taken by both to travel to meeting point are equal

Therefore, we get:  1880 - D/220 = D/250

250(1,880 – D) = 220D ------ Cross-multiplying

470,000 – 250D = 220D

  • 250D – 220D = - 470,000
  • 470D = - 470,000

D, or distance Lian traveled = -470000/-470, or 1000 km

Answer:

D.

Step-by-step explanation: